A short proof of the Cima-Wogen 𝐿(𝑓)=𝑐𝑖𝑟𝑐𝑙𝑒 theorem-Reference-Cited by-同舟云学术

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A short proof of the Cima-Wogen 𝐿(𝑓)=𝑐𝑖𝑟𝑐𝑙𝑒 theorem

Published:1984 Issue:3 Volume:92 Page:391-392
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Antonino José A.,Romaguera Salvador

Abstract

In [1] Cima and Wogen showed that if f ∈ f \in ball B 0 {B_0} and L ( f ) L(f) contains a circle γ \gamma , then γ = L ( f ) \gamma = L(f) . This note presents a new and straightforward proof of Cima and Wogen’s theorem.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1984-092-03/S0002-9939-1984-0759659-2/S0002-9939-1984-0759659-2.pdf

Reference2 articles.

1. Extreme points of the unit ball of the Bloch space \cal𝐵₀;Cima, Joseph A.;Michigan Math. J.,1978

2. On holomorphic functions satisfying 𝑓(𝑧)(1-𝑧²)≤1 in the unit disc;Wirths, Karl-Joachim;Proc. Amer. Math. Soc.,1982

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